The city of Jaen does not have train services from Surroundings, which remedies with an excellent coach service.
But it does have a train terminal station to which services arrive daily Medium Distance Train. The service Regional and the Regional Express from Renfe they arrive at Madrid-Chamartín Four times every day. The trip lasts 3 hours and 48 minutes and its fare is € 30.20.
Finally the service Regional Andalucía Express goes to Cádiz daily in the morning. Its about AVE Shuttle, which covers the route via Córdoba-Sevilla-San Fernando in 4 hours and has a rate of €€ 40.
All these tariffs They are the basic ones, keep in mind that you can get discounts by round trip ticket or large family and even buying a travel ticket.